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13686048 = 253247521
BaseRepresentation
bin110100001101…
…010100100000
3221202022201200
4310031110200
512000423143
61205201200
7224221005
oct64152440
927668650
1013686048
1177a8592
124700200
132ab256c
141b638ac
1513051d3
hexd0d520

13686048 has 36 divisors (see below), whose sum is σ = 38920518. Its totient is φ = 4561920.

The previous prime is 13686019. The next prime is 13686059. The reversal of 13686048 is 84068631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9072144 + 4613904 = 3012^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23473 + ... + 24048.

Almost surely, 213686048 is an apocalyptic number.

13686048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13686048 is an abundant number, since it is smaller than the sum of its proper divisors (25234470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13686048 is a wasteful number, since it uses less digits than its factorization.

13686048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47537 (or 47526 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13686048 is about 3699.4659073980. The cubic root of 13686048 is about 239.1989962785.

The spelling of 13686048 in words is "thirteen million, six hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47521 95042 142563 190084 285126 380168 427689 570252 760336 855378 1140504 1520672 1710756 2281008 3421512 4562016 6843024 13686048